168 citations · 614 across the 54 of their papers we have counts for
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Global solutions for the two-component Camassa-Holm system
K. Grunert, H. Holden, X. Raynaud
We prove existence of a global conservative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line, allowing for nonvanishing and distinct asymp…
Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics
Katrin Grunert, Helge Holden, Xavier Raynaud
We study global conservative solutions of the Cauchy problem for the Camassa-Holm equation with nonvanishing and distinct spatial asy…
Operator splitting for partial differential equations with Burgers nonlinearity
Helge Holden, Christian Lubich, Nils Henrik Risebro
We provide a new analytical approach to operator splitting for equations of the type where is a linear differential operator such that the equation is well-posed…
Operator splitting for two-dimensional incompressible fluid equations
Helge Holden, Kenneth H. Karlsen, Trygve K. Karper
We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible Navier-Stokes equations and the surface quasi-geostrophic equation…